Answer
$ 4x^6y^2-2x^4y+ \frac{3}{7}y$.
Work Step by Step
The given expression is
$(28x^8y^3-14x^6y^2+3x^2y^2)\div(7x^2y)$
Rewrite the division in a vertical format.
$\Rightarrow \frac{28x^8y^3-14x^6y^2+3x^2y^2}{7x^2y}$
Divide each term of the polynomial by the monomial.
$\Rightarrow \frac{28x^8y^3}{7x^2y}- \frac{14x^6y^2}{7x^2y}+ \frac{3x^2y^2}{7x^2y}$
Simplify each quotient.
$\Rightarrow 4x^6y^2-2x^4y+ \frac{3}{7}y$.